No, because there are pay caps for federal employees. Often private companies can hire at a pay equivalent to 1-3 grades higher (or more) than the billets the government has for their equivalent people.
GS-12/13 is a common working level for these jobs. Even on the cyber side which gets a 25% or so incentive pay on top, it's not competitive with what industry would pay. And only a handful of truly critical programs might, might, be able to get GS-14/15 billets for their technical staff, that'll still only be for SMEs with years of experience or certain key skillsets. Above GS you start requiring congressional appointments as well, and they aren't going to setup hearings so they can pay people over $200k, it's easier to get a contractor willing to pay that much.